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Finding the Fourth Proportional to 1,205.18, 1,799.05 and 1,115.00

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Solution

The fourth proportional to 1,205.18, 1,799.05 and 1,115.00 is: 1,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.18 : 1,799.05 = 1,115.00 : x
  2. Step 2: Convert to fraction form
    1,205.18/1,799.05 = 1,115.00/x
  3. Step 3: Cross multiply
    1,205.18x = 1,799.05 × 1,115.00
  4. Step 4: Simplify right side
    1,205.18x = 2,005,928.97
  5. Step 5: Solve for x
    x = 2,005,928.97/1,205.18
  6. Step 6: Final answer
    x = 1,664.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.